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Cohomology of V ect(R) acting on the space of bilinear differential operators

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Abstract We consider the V ect ( R ) -module structure on the spaces of bilinear differential operators acting on the spaces of weighted densities. We compute the first differential… Click to show full abstract

Abstract We consider the V ect ( R ) -module structure on the spaces of bilinear differential operators acting on the spaces of weighted densities. We compute the first differential cohomology of the vector fields Lie algebra V ect ( R ) with coefficients in space D λ , ν ; μ of bilinear differential operators acting on weighted densities.

Keywords: cohomology ect; differential operators; bilinear differential; ect acting; space bilinear

Journal Title: Journal of Geometry and Physics
Year Published: 2019

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